I found it in my "My Esri" page (used to be the Customers portal) under ArcGIS for Desktop 10.2.2.
I went into my.esri.com > My Organizations > Products
In the Products list I selected "View Downloads" next to ArcGIS for Desktop 10.2.2
ArcReader (Windows) was right at the bottom of the ArcGIS for Desktop 10.2.2 download list.
Hope this helps.
Mike.